Composition laws on the Fricke surface and Markov triples

Uludag A. M., Yilmaz E. U.

TURKISH JOURNAL OF MATHEMATICS, cilt.46, sa.3, ss.785-799, 2022 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3906/mat-2111-38
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.785-799
  • Anahtar Kelimeler: Fricke surface, Markov equation, Markov triples, group law on quadrics, Frobenius conjecture
  • Galatasaray Üniversitesi Adresli: Evet

Özet

We determine some composition laws related to the Fricke surface and the "double" Fricke surface. This latter surface admits the squares of Markov triples as its solutions.